Find the time(s) that a particle will be a rest if the instantaneous velocity of the particle is given by s '(t)=5t2-22t+8

Let  s(t)=2t^3- 21t^2 +72t in meters be the position of a particle moving on the coordinate line after t seconds on the interval [0, 6]. a. Find the instantaneous velocity at t = 2 seconds. b. Find the acceleration at t = 5 seconds. c.When is the particle moving in a positive direction? d. When is the particle moving in a negative direction? e. When is the particle at rest? Does s(0)-s(0) represent the total distance traveled from t = 0 to t = 6 seconds? Why or Why not?

Find y' given y = (x³ – x² + 3x + 10)S